Linear and nonlinear dynamics of matter wave packets in periodic potentials
Optics Express, Vol. 12, Issue 1, pp. 11-18 (2004)
http://dx.doi.org/10.1364/OPEX.12.000011
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Abstract
We investigate experimentally and theoretically the nonlinear propagation of 87Rb Bose Einstein condensates in a trap with cylindrical symmetry. An additional weak periodic potential which encloses an angle with the symmetry axis of the waveguide is applied. The observed complex wave packet dynamics results from the coupling of transverse and longitudinal motion. We show that the experimental observations can be understood applying the concept of effective mass, which also allows to model numerically the three dimensional problem with a one dimensional equation. Within this framework the observed slowly spreading wave packets are a consequence of the continuous change of dispersion. The observed splitting of wave packets is very well described by the developed model and results from the nonlinear effect of transient solitonic propagation.
© 2004 Optical Society of America
OCIS Codes
(020.0020) Atomic and molecular physics : Atomic and molecular physics
(270.5530) Quantum optics : Pulse propagation and temporal solitons
(350.4990) Other areas of optics : Particles
ToC Category:
Focus Issue: Cold atomic gases in optical lattices
History
Original Manuscript: November 11, 2003
Revised Manuscript: December 21, 2003
Published: January 12, 2004
Citation
Th. Anker, M. Albiez, B. Eiermann, M. Taglieber, and M. Oberthaler, "Linear and nonlinear dynamics of matter wave packets in periodic potentials," Opt. Express 12, 11-18 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-1-11
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